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Finding the Fourth Proportional to 504.66, 756.88 and 179.98

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Solution

The fourth proportional to 504.66, 756.88 and 179.98 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 756.88 = 179.98 : x
  2. Step 2: Convert to fraction form
    504.66/756.88 = 179.98/x
  3. Step 3: Cross multiply
    504.66x = 756.88 × 179.98
  4. Step 4: Simplify right side
    504.66x = 136,223.26
  5. Step 5: Solve for x
    x = 136,223.26/504.66
  6. Step 6: Final answer
    x = 269.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.